New York is known as "the city that never sleeps." A random sample of 25 New Yorkers were asked how much sleep they get per night and the sample mean was 7.3 hours. To test if New Yorkers sleep less than 8 hours a night on average (Ho: u = 8 v.s. HA: µ < 8, where u is the mean number of hours New Yorkers sleep a night), the P-value is (i) the probability of getting a random sample of 25 New Yorkers that on average sleep 7.3 hours a night, when New Yorkers actually sleep less than 8 hours per night on average. (ii) the probability of getting a random sample of 25 New Yorkers that on average sleep 7.3 hours or less a night, when New Yorkers actually sleep 8 hours per night on average. (iii) the probability that New Yorkers on average sleep 8 hours per night, given that the 25 randomly sampled New Yorkers on average sleep 7.3 hours a night (iv) the probability that New Yorkers on average sleep less than 8 hours per night, given that the 25 randomly sampled New Yorkers on average sleep 7.3 hours a night.

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New York is known as "the city that never sleeps." A random sample of 25 New Yorkers were asked
how much sleep they get per night and the sample mean was 7.3 hours. To test if New Yorkers sleep less
than 8 hours a night on average (Ho: u = 8 v.s. HA: u < 8, where u is the mean number of hours New
Yorkers sleep a night), the P-value is
(i) the probability of getting a random sample of 25 New Yorkers that on average sleep 7.3 hours a
night, when New Yorkers actually sleep less than 8 hours per night on average.
(ii) the probability of getting a random sample of 25 New Yorkers that on average sleep 7.3 hours or less
a night, when New Yorkers actually sleep 8 hours per night on average.
(iii) the probability that New Yorkers on average sleep 8 hours per night, given that the 25 randomly
sampled New Yorkers on average sleep 7.3 hours a night
(iv) the probability that New Yorkers on average sleep less than 8 hours per night, given that the 25
randomly sampled New Yorkers on average sleep 7.3 hours a night.
Transcribed Image Text:New York is known as "the city that never sleeps." A random sample of 25 New Yorkers were asked how much sleep they get per night and the sample mean was 7.3 hours. To test if New Yorkers sleep less than 8 hours a night on average (Ho: u = 8 v.s. HA: u < 8, where u is the mean number of hours New Yorkers sleep a night), the P-value is (i) the probability of getting a random sample of 25 New Yorkers that on average sleep 7.3 hours a night, when New Yorkers actually sleep less than 8 hours per night on average. (ii) the probability of getting a random sample of 25 New Yorkers that on average sleep 7.3 hours or less a night, when New Yorkers actually sleep 8 hours per night on average. (iii) the probability that New Yorkers on average sleep 8 hours per night, given that the 25 randomly sampled New Yorkers on average sleep 7.3 hours a night (iv) the probability that New Yorkers on average sleep less than 8 hours per night, given that the 25 randomly sampled New Yorkers on average sleep 7.3 hours a night.
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